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Finding the Fourth Proportional to 204,178.56, 281,767.32 and 119,277.60

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Solution

The fourth proportional to 204,178.56, 281,767.32 and 119,277.60 is: 164,603.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,178.56 : 281,767.32 = 119,277.60 : x
  2. Step 2: Convert to fraction form
    204,178.56/281,767.32 = 119,277.60/x
  3. Step 3: Cross multiply
    204,178.56x = 281,767.32 × 119,277.60
  4. Step 4: Simplify right side
    204,178.56x = 33,608,529,688.03
  5. Step 5: Solve for x
    x = 33,608,529,688.03/204,178.56
  6. Step 6: Final answer
    x = 164,603.62

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.